{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:52:29Z","timestamp":1753894349311,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2020,6,24]],"date-time":"2020-06-24T00:00:00Z","timestamp":1592956800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We consider a group-theoretic analogue of the classic subset sum problem. In\nthis brief note, we show that the subset sum problem is NP-complete in the\nfirst Grigorchuk group. More generally, we show NP-hardness of that problem in\nweakly regular branch groups, which implies NP-completeness if the group is, in\naddition, contracting.<\/jats:p>","DOI":"10.46298\/jgcc.2020.12.1.6541","type":"journal-article","created":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T17:40:33Z","timestamp":1614879633000},"source":"Crossref","is-referenced-by-count":0,"title":["On subset sum problem in branch groups"],"prefix":"10.46298","volume":"Volume 12, Issue 1","author":[{"given":"Andrey","family":"Nikolaev","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Ushakov","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2020,6,24]]},"container-title":["journal of Groups, complexity, cryptology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/gcc.episciences.org\/6541\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/gcc.episciences.org\/6541\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T10:11:33Z","timestamp":1687255893000},"score":1,"resource":{"primary":{"URL":"https:\/\/gcc.episciences.org\/6541"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,24]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/jgcc.2020.12.1.6541","relation":{"is-same-as":[{"id-type":"arxiv","id":"2006.03470","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2006.03470","asserted-by":"subject"}]},"ISSN":["1869-6104"],"issn-type":[{"type":"electronic","value":"1869-6104"}],"subject":[],"published":{"date-parts":[[2020,6,24]]},"article-number":"6541"}}